Step 1 is wrong it should be: 2x - 3x - 1=3
The perimeter of a triangle is the sum of its side lengths.
The perimeter of the triangle is: ![14d + 7f +7](https://tex.z-dn.net/?f=14d%20%2B%207f%20%2B7)
<u>The sides of the triangle are:</u>
Side 1 = (8d - 3) cm
Side 2 = (6d + 2) cm
Side 3 = (7f + 8) cm
The perimeter (P) is calculated as:
P = Side 1 + Side 2 + Side 3
So, we have:
![P = (8d - 3) + (6d + 2) + (7f + 8)](https://tex.z-dn.net/?f=P%20%3D%20%288d%20-%203%29%20%2B%20%286d%20%2B%202%29%20%2B%20%287f%20%2B%208%29)
Remove brackets
![P = 8d - 3 + 6d + 2 + 7f + 8](https://tex.z-dn.net/?f=P%20%3D%208d%20-%203%20%2B%206d%20%2B%202%20%2B%207f%20%2B%208)
Collect like terms
![P = 8d + 6d + 7f - 3 + 2 + 8](https://tex.z-dn.net/?f=P%20%3D%208d%20%20%2B%206d%20%2B%207f%20-%203%20%2B%202%20%2B%208)
![P = 14d + 7f +7](https://tex.z-dn.net/?f=P%20%3D%2014d%20%2B%207f%20%2B7)
Hence, the perimeter of the triangle is: ![14d + 7f +7](https://tex.z-dn.net/?f=14d%20%2B%207f%20%2B7)
Read more about perimeters at:
brainly.com/question/6465134
The two complementary angles are:
95° and 15°
Step-by-step explanation:
Let x be one angle
then the other angle will be 90-x
As the sum of complementary angles is 90
So,
then according to statement
![x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15](https://tex.z-dn.net/?f=x%20%3D%203%2890-x%29%2B30%5C%5Cx%20%3D%20270-3x%20%2B30%5C%5Cx%20%3D%20300-3x%5C%5Cx%2B3x%20%3D%20300%5C%5C4x%20%3D%20300%5C%5Cx%20%3D%20%5Cfrac%7B300%7D%5B4%7D%5C%5Cx%20%3D%2075%5C%5Cand%5C%5C90%20-x%20%3D%2090%20-%2075%20%3D%2015)
The two complementary angles are:
95° and 15°
Keywords: Angles, triangles
Learn more about angles at:
#LearnwithBrainly